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September 24, 2019
4:10PM - 5:10PM
Location
Cockins Hall 240
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2019-09-24 16:10:00
2019-09-24 17:10:00
Topology, Geometry and Data Seminar - Haibin Hang
Title: What is a zigzag module with continuous index?
Speaker: Haibin Hang, FSU
Abstract: Persistence modules and zigzag modules are basic objects of study in topological data analysis. In this work, we generalize and unify these objects in the framework of correspondence modules, which use partial linear relations between vector spaces as a replacement for linear maps. We show that a decomposition theorem still holds in this more general framework. This leads to formulations of persistent homology that enable us to analyze data using barcodes containing richer information.
Seminar URL: tgda.osu.edu
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-09-24 16:10:00
2019-09-24 17:10:00
Topology, Geometry and Data Seminar - Haibin Hang
Title: What is a zigzag module with continuous index?
Speaker: Haibin Hang, FSU
Abstract: Persistence modules and zigzag modules are basic objects of study in topological data analysis. In this work, we generalize and unify these objects in the framework of correspondence modules, which use partial linear relations between vector spaces as a replacement for linear maps. We show that a decomposition theorem still holds in this more general framework. This leads to formulations of persistent homology that enable us to analyze data using barcodes containing richer information.
Seminar URL: tgda.osu.edu
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Description
Title: What is a zigzag module with continuous index?
Speaker: Haibin Hang, FSU
Abstract: Persistence modules and zigzag modules are basic objects of study in topological data analysis. In this work, we generalize and unify these objects in the framework of correspondence modules, which use partial linear relations between vector spaces as a replacement for linear maps. We show that a decomposition theorem still holds in this more general framework. This leads to formulations of persistent homology that enable us to analyze data using barcodes containing richer information.
Seminar URL: tgda.osu.edu
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